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Finding the Fourth Proportional to 111,362.81, 166,964.86 and 52,166.19

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Solution

The fourth proportional to 111,362.81, 166,964.86 and 52,166.19 is: 78,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,362.81 : 166,964.86 = 52,166.19 : x
  2. Step 2: Convert to fraction form
    111,362.81/166,964.86 = 52,166.19/x
  3. Step 3: Cross multiply
    111,362.81x = 166,964.86 × 52,166.19
  4. Step 4: Simplify right side
    111,362.81x = 8,709,920,675.29
  5. Step 5: Solve for x
    x = 8,709,920,675.29/111,362.81
  6. Step 6: Final answer
    x = 78,212.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.